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Finding the Fourth Proportional to 12,114.92, 16,718.70 and 7,399.20

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Solution

The fourth proportional to 12,114.92, 16,718.70 and 7,399.20 is: 10,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.92 : 16,718.70 = 7,399.20 : x
  2. Step 2: Convert to fraction form
    12,114.92/16,718.70 = 7,399.20/x
  3. Step 3: Cross multiply
    12,114.92x = 16,718.70 × 7,399.20
  4. Step 4: Simplify right side
    12,114.92x = 123,705,001.44
  5. Step 5: Solve for x
    x = 123,705,001.44/12,114.92
  6. Step 6: Final answer
    x = 10,210.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.